smooth atlas

Definition

An smooth atlas is an atlas $\mathcal{A}$ if any two charts in $\mathcal{A}$ are smoothly compatible with each other.

References

1. http://staff.ustc.edu.cn/~wangzuoq/Courses/18F-Manifolds/Notes/Lec02.pdf
2. J. M. Lee, Introduction to smooth manifolds, Second edition. in Graduate texts in mathematics, no. 218. New York Heidelberg Dordrecht London: Springer, 2013, p. 12.